After the NFL Scouting Combine, it appears the top tackles -- Connor Williams of Texas, Kolton Miller of UCLA and Mike McGlinchey of Notre Dame -- will come off the board in the back half of the first round. If the Giants sit idle, they could be looking at centers, guards and underachieving tackles.

A trade up from No. 34 into the 20s could work independent of what the Giants do with their first selection. But trading down within the top 10 to stockpile mid-round picks also could provide the surplus that makes it easier to later move up for an additional first-round pick.

Two teams at the top of the 2017 draft employed the multiple-first-round pick-strategy.

After picking No. 1 overall, the Browns traded up from No. 33 to No. 29 by giving up a fourth-rounder. After picking No. 3 overall, the 49ers traded up from No. 34 to No. 31 by giving up a fourth-rounder. Both teams had picks to spare from earlier trades.

Using history as an indication, the Giants could come away with a prized quarterback or Barkley and a foundational blocker like Miller or McGlinchey for the price of one of the team's two fourth-round picks.

"Any decision I make is going to be in the best interest of the New York Giants, plain and simple," he said. "If someone makes me an offer I can't refuse, would I move back? It depends upon who is there. You can't get too cute about the whole thing."

Given his track record, Gettleman might be more likely to make the unrefusable offer than to take it.